Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.2 Derivatives And Integrals Involving Logarithmic Functions - Exercises Set 6.2 - Page 425: 33



Work Step by Step

The derivative of $ln|x|$ is $\frac{1}{x}$. The definition of an odd function is a function where $f(x)=-f(-x)$. $$\frac{1}{x}=\frac{-1}{-x}$$ Therefore, the derivative of $ln|x|$ is odd.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.